anonymous
  • anonymous
Jimmy’s proof: Statement 1: In triangle ADC and BCD, AD = BC (opposite sides of a rectangle are congruent) Statement 2: Angle ADC = Angle BCD (angles of a rectangle are 90°) Statement 3: DC=DC (transitive property of equality) Statement 4: Triangle ADC and BCD are congruent (by SAS postulate) Statement 5: AC = BD (by CPCTC) Which statement in Jimmy’s proof has an error?
Mathematics
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
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King
  • King
no error
anonymous
  • anonymous
yeah apparently there is no error !!

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King
  • King
Yippee!!Cheers for Jimmy!!
anonymous
  • anonymous
no i think there can be a mistake in statement five ..... if you consider each statement independent of each other then in statement 5 the student have not mentioned the congruent triangle so may be it can be considered as incorrect ever though the relation is correct
anonymous
  • anonymous
ever=even
anonymous
  • anonymous
I guess.. there could be an error in statement 1 , where he says that "opposite sides of a rectangle are congruent)" but .. as far as i know, you never say they are 'congruent', you always say they are 'equal'! :/
King
  • King
if u consider each statement independent then statement 4 is also wrong as u cannot say 2 triangles are congruent without proof or reason.....
anonymous
  • anonymous
thats CPCTC may be incorrect ....
King
  • King
as far as i know its CPCT[Corresponding Parts of Congruent Triangles] NOT CPCTC
King
  • King
nah CPCTC is rite its [Corresponding Parts of Congruent Triangles are Congruent]
anonymous
  • anonymous
@Hashir : Naah, 'CPCTC' is absolutely correct.. because.. he already proved that the 2 triangles are equal by SAS postulate..
anonymous
  • anonymous
i am saying that there may be a possibility .... if we consider each statement independent
anonymous
  • anonymous
CPCTC ('Corresponding parts of congruent triangles are congruent') is nothing but another name/abbr. for CPCT ..
King
  • King
Okay Conclusion:Jimmy is an over-cautious idiot trying to find a mistake in an absolutely correct proof!!
anonymous
  • anonymous
so 3 has a problem ... 3 is incorrect ... got it now
King
  • King
whats wrong in 3??DC=DC is not true?
anonymous
  • anonymous
bro in transitive property we prove that if a=b and b=c then a=c .... not a=a !!!
anonymous
  • anonymous
it doesnt make any sense
anonymous
  • anonymous
@Hashir : I totally agree with you!!.. transitive property is --> if a=b, and b=c .. a=c! :P
anonymous
  • anonymous
it can be correct if he says that DC=CD
anonymous
  • anonymous
but he didnt say that
King
  • King
oh!ok!i did not know that!!so yes Jimmy being over-cautious helped him as @Hashir the detective finds the criminal eluding his 2 pardnas!
King
  • King
;D

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